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All results from a given calculation for C2H4O4 (Formic acid dimer)

using model chemistry: mPW1PW91/TZVP

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2H 1AG
Energy calculated at mPW1PW91/TZVP
 hartrees
Energy at 0K-379.595348
Energy at 298.15K-379.601324
HF Energy-379.595348
Nuclear repulsion energy237.328203
The energy at 298.15K was derived from the energy at 0K and an integrated heat capacity that used the calculated vibrational frequencies.
Vibrational Frequencies calculated at mPW1PW91/TZVP
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
4/u)
Dep P Dep U
1 Ag 3102 2959 0.00      
2 Ag 3061 2920 0.00      
3 Ag 1736 1656 0.00      
4 Ag 1488 1420 0.00      
5 Ag 1421 1356 0.00      
6 Ag 1287 1228 0.00      
7 Ag 699 667 0.00      
8 Ag 213 203 0.00      
9 Ag 174 166 0.00      
10 Au 1116 1065 89.92      
11 Au 1017 970 165.27      
12 Au 188 179 10.10      
13 Au 79 76 2.51      
14 Bg 1090 1040 0.00      
15 Bg 995 949 0.00      
16 Bg 266 254 0.00      
17 Bu 3186 3040 2129.94      
18 Bu 3090 2948 642.07      
19 Bu 1812 1729 864.72      
20 Bu 1461 1394 1.04      
21 Bu 1419 1354 61.50      
22 Bu 1288 1228 343.86      
23 Bu 732 698 43.42      
24 Bu 286 273 78.18      

Unscaled Zero Point Vibrational Energy (zpe) 15602.0 cm-1
Scaled (by 0.954) Zero Point Vibrational Energy (zpe) 14884.3 cm-1
See section III.C.1 List or set vibrational scaling factors to change the scale factors used here.
See section III.C.2 Calculate a vibrational scaling factor for a given set of molecules to determine the least squares best scaling factor.
Rotational Constants (cm-1) from geometry optimized at mPW1PW91/TZVP
ABC
0.20464 0.07783 0.05639

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/TZVP

Point Group is C2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 1.607 -0.983 0.000
C2 -1.607 0.983 0.000
O3 1.607 0.232 0.000
O4 -1.607 -0.232 0.000
O5 0.558 -1.755 0.000
O6 -0.558 1.755 0.000
H7 2.539 -1.558 0.000
H8 -2.539 1.558 0.000
H9 0.281 1.207 0.000
H10 -0.281 -1.207 0.000

Atom - Atom Distances (Å)
  C1 C2 O3 O4 O5 O6 H7 H8 H9 H10
C13.76791.21543.30051.30253.49061.09514.86302.56041.9011
C23.76793.30051.21543.49061.30254.86301.09511.90112.5604
O31.21543.30053.24722.24712.64662.01814.35301.64582.3737
O43.30051.21543.24722.64662.24714.35302.01812.37371.6458
O51.30253.49062.24712.64663.68291.99154.53492.97481.0018
O63.49061.30252.64662.24713.68294.53491.99151.00182.9748
H71.09514.86302.01814.35301.99154.53495.95813.56982.8420
H84.86301.09514.35302.01814.53491.99155.95812.84203.5698
H92.56041.90111.64582.37372.97481.00183.56982.84202.4783
H101.90112.56042.37371.64581.00182.97482.84203.56982.4783

picture of Formic acid dimer state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 O3 H9 126.323 C1 O5 H10 110.502
C2 O4 H10 126.323 C2 O6 H9 110.502
O3 C1 O5 126.329 O3 C1 H7 121.631
O3 H9 O6 176.847 O4 C2 O6 126.329
O4 C2 H8 121.631 O4 H10 O5 176.847
O5 C1 H7 112.040 O6 C2 H8 112.040
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/TZVP Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.259      
2 C 0.259      
3 O -0.410      
4 O -0.410      
5 O -0.254      
6 O -0.254      
7 H 0.108      
8 H 0.108      
9 H 0.297      
10 H 0.297      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.000 0.000 0.000 0.000
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -30.924 -6.965 0.000
y -6.965 -37.684 0.000
z 0.000 0.000 -33.683
Traceless
 xyz
x 4.759 -6.965 0.000
y -6.965 -5.380 0.000
z 0.000 0.000 0.621
Polar
3z2-r21.242
x2-y26.759
xy-6.965
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.524 -0.518 0.000
y -0.518 7.069 0.000
z 0.000 0.000 3.322


<r2> (average value of r2) Å2
<r2> 181.140
(<r2>)1/2 13.459